Purpose:
The
purpose of this laboratory experiment is to explore the emission and absorption
properties of white light as well as different emissions and absorptions of other
sources that contain only one type of element. The spectra lines will be viewed
through a diffracting gradient and then marked to perform the necessary calculations.
Once this is done with white light, it will then be repeated with hydrogen to
compare the two observations. After that, an unknown gas will be viewed and
identified using an absorption chart found online to determine the identity of
the unknown.
Procedure:
The
first step that was done this experiment was the light source was obtained and
placed in front of the defrating gradient. The distance of this gap was
recorded.
The light source was then turned
on and the spectra was viewed through the gradient. Once the spectra was found,
the middle of each primary color was marked and the distance from that point to
the light source was measured and recorded.
Once this was completed, all the
tabulated data was stored to be used to calculate the wavelength at a later
time. Once all the necessary recordable data for the white light was obtained, the
hydrogen atom emitting light was then placed in front of the gradient to have
the process repeated.
Again, as done previously with
the white light, the spectra of the hydrogen light was observed and the observable
spectrum lines were located and measured from the light source.
The same procedure was followed
as before for the white light. Next, the unknown gas light was received and
placed using the exact same set up as for the previously two light sources.
Again, the spectra was viewed and
measured to make the necessary calculations later on in the experiment.
Data Analysis:
The
following table represents the observed data as well as the calculated and
known wavelength of the different colors in white light. In the chart, l
represents the distance from the light source to the gradient, x is the distance
from the light source to the spectra line, d is the spacing between the
gradient, and the last two coulombs represent the experimentally calculated
wavelength and theoretical wavelength respectfully.
Color
|
l (cm)
|
x (cm)
|
d (cm)
|
Exp λ (nm)
|
Act λ (nm)
|
Red
|
190 ± 1
|
73.0 ±1
|
.0002
|
717 ±17
|
750
|
Yellow
|
190 ± 1
|
53.5 ±1
|
.0002
|
542 ±23
|
570
|
Green
|
190 ± 1
|
48.5 ±1
|
.0002
|
495 ±23
|
510
|
Blue
|
190 ± 1
|
45.0 ±1
|
.0002
|
461 ±23
|
475
|
Violet
|
190 ± 1
|
37.0 ±1
|
.0002
|
382 ±22
|
390
|
The proceeding table contains the information gathered from the hydrogen spectrum. Again as before, the same variables from the previous table, represent the same values as before.
Color
|
l (cm)
|
x (cm)
|
d (cm)
|
Exp λ (nm)
|
Act λ (nm)
|
Red
|
190 ± 1
|
67.0 ±1
|
.0002
|
675 ±23
|
656
|
Blue
|
190 ± 1
|
48.3 ±1
|
.0002
|
490 ±23
|
486
|
violet
|
190 ± 1
|
43.0 ±1
|
.0002
|
441 ±22
|
434
|
The last table below is the table that contains all the data recorded for the unknown gas that was given and analyzed. Again as before, the same variables in the table represent the same measurements as the formal tables. However since this is an unknown gas, the actual wavelength section of the table is not included.
Color
|
l (cm)
|
x (cm)
|
d (cm)
|
Exp λ (nm)
|
Red
|
190 ±1
|
59.5 ±1
|
.0002
|
597 ±23
|
Orange
|
190 ±1
|
58.5 ±1
|
.0002
|
588 ±20
|
Yellow
|
190 ±1
|
56.0 ±1
|
.0002
|
565 ±21
|
Blue
|
190 ±1
|
49.0 ±1
|
.0002
|
499 ±23
|
After all of these calculations were made, the spectrum of a number of gasses was displayed and the gas that closely matched the above data was chosen to be determined as our unknown. In this case, our unknown gas was accurately guessed to be mercury. The actual wavelength of the emitted lights is listed below.
Color
|
Act λ (nm)
|
Red
|
623.4
|
Orange
|
615.2
|
Yellow
|
577.0
|
Blue
|
502.5
|
Using the data now known, we were able to determine the measurements of the uncertainty of our measurements which follows:
Conclusion:
From
this experiment, we were able to determine the identity of an unknown gas by
simply using the viewable spectra of the gas. This is because every element has
its own unique emission spectra as well as absorption spectra. As long as the
elements spectrum is known, the identity of an unidentified element can be accurately
determined by using its spectra and comparing it to that of other elements. This
procedure can be repeated and executed to a relatively accurate degree of uncertainty.
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